What are the three differences between an inconsistent system and a consistent and independent system. explan?

Hey there Mejia021274,
1) Independent systems have exactly one solution:
x + y = 1
x - y = 3
x = 2, y = -1

2) Inconsistent systems have no solutions :
5x + y = 6
5x + y = 10
There is no solution as 5x + y cannot be equal to 6 and 10

3) Consistent systems have a lot of solutions:
x+y = 5 
2x+2y = 10 
A few solutions to this system are (1,4), (2,3), (3,2), (4,1), (5,0), and so on.

Hope this helps :))

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